2x^2y=4x^3y^4

Solution for 2x^2y=4x^3y^4 equation:

Simplifying
2x2y = 4x3y4

Solving
2x2y = 4x3y4

Solving for variable 'x'.

Combine like terms: 4x3y4 + -4x3y4 = 0
2x2y + -4x3y4 = 0

Factor out the Greatest Common Factor (GCF), '2x2y'.
2x2y(1 + -2xy3) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + -2xy3)' equal to zero and attempt to solve:

Simplifying
1 + -2xy3 = 0

Solving
1 + -2xy3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2xy3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2xy3 = 0 + -1
-2xy3 = 0 + -1

Combine like terms: 0 + -1 = -1
-2xy3 = -1

Divide each side by '-2y3'.
x = 0.5y-3

Simplifying
x = 0.5y-3
Solution
x = {0.5y-3}